Research
Papers, preprints and related talks:
- Eulerian representations for real reflection groups, 2020. (To appear in the Journal of the London Mathematical Society).
- ArXiv preprint.
- Extended abstract, accepted as a talk at FPSAC 2021.
- Slides from my talk at the Women in Combinatorics and Representation Theory Conference in May 2021.
- Slides from my talk at the IAS Program for Women in Mathematics Postdoc seminar in May 2021.
- Slides from a talk on this paper at University of Minnesota's Combinatorics Seminar in October 2020. Here is a recording of the same talk at the Graduate Student Combinatorics Colloquium.
- Slides from a talk on this paper at Arrangements at Home, III: Algebraic Aspects, a virtual conference taking place in August 2020. Here is the recording of my talk.
- A Workshop to Build Community and Broaden Participation in Mathematics: Reflections on the Mathematics Project at Minnesota , PRIMUS. (2021).
With Esther Banaian, Harini Chandramouli, Kim Klinger-Logan, Alice Nadeau and McCleary Philbin.- Journal version.
- Preprint.
- I gave a talk with Esther Banaian and McCleary Philbin on our paper at the University of Chicago Pedagogy Seminar. Watch a recording of our talk here.
- Enumerating Linear Systems on Graphs, Mathematische Zietschrift. (2020).
With Forrest Glebe and David Perkinson. - Journal version.
- ArXiv preprint.
- Our extended abstract, presented as a poster at FPSAC 2019.
- Slides from a talk on this paper at the AMS Special Session on Combinatorial Algebraic Geometry at University of Wisconsin, Madison in September 2019.
- On Specht modules and the CataLAnKe theorem, 2018. (Submitted.)
With Tamar Friedmann. - ArXiv preprint
- Slides from a talk on this paper at the AMS Special Session on Combinatorics in Algebra and Algebraic Geometry at University of Michigan, October 2018.
Ongoing Projects:
Collaborators marked with * indicate undergraduate researchers.
- On orbit configuration spaces and a Type B generalization of the Whitehouse representation (manuscript in preparation!)
- Eulerian representations for complex reflection groups
- Firing graphs of effective divisors (with Annika Christiansen* and Nhung Pham*)
- Spectra of Shuffling Operators (with Patty Commins, Trevor Karn, and Nadia Lafreniere)
If you are an undergraduate interested in working on a research project with me, or in talking about research in math more generally, I encourage you to email me or stop by my office (VH 556).
A short introduction to my research
Here is a 5 minute introduction to my research, originally made for the 2020 UMN prospective graduate student weekend.
(It assumes some knowledge of algebra, but not much else!)